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12 g of Mg (at. Mass 24) will react comp...

12 g of Mg (at. Mass 24) will react completely with acid to give

A

1 mole of `O_(2)`

B

`(1) / (2)` mole of `H_(2)`

C

1 equivalent of `H_(2)`

D

2 equivalents of `H_(2)`

Text Solution

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The correct Answer is:
To solve the problem of how much hydrogen gas will be produced when 12 g of magnesium reacts completely with an acid, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Molar Mass of Magnesium:** The atomic mass of magnesium (Mg) is given as 24 g/mol. 2. **Calculate the Number of Moles of Magnesium:** To find the number of moles of magnesium, we use the formula: \[ \text{Number of moles} = \frac{\text{Mass of substance}}{\text{Molar mass}} \] Here, the mass of magnesium is 12 g. \[ \text{Number of moles of Mg} = \frac{12 \text{ g}}{24 \text{ g/mol}} = 0.5 \text{ moles} \] 3. **Determine the Reaction with Acid:** Magnesium reacts with acids to produce hydrogen gas. We can consider two types of acids: - **Monobasic Acid (e.g., HCl):** \[ \text{Mg} + 2\text{HCl} \rightarrow \text{MgCl}_2 + \text{H}_2 \] From this reaction, 1 mole of magnesium produces 1 mole of hydrogen gas. - **Dibasic Acid (e.g., H2SO4):** \[ \text{Mg} + \text{H}_2\text{SO}_4 \rightarrow \text{MgSO}_4 + \text{H}_2 \] In this case as well, 1 mole of magnesium produces 1 mole of hydrogen gas. 4. **Calculate the Moles of Hydrogen Produced:** Since the mole ratio of magnesium to hydrogen is 1:1 in both reactions, the moles of hydrogen produced will also be equal to the moles of magnesium reacted. \[ \text{Moles of H}_2 = 0.5 \text{ moles of Mg} \rightarrow 0.5 \text{ moles of H}_2 \] 5. **Conclusion:** Therefore, when 12 g of magnesium reacts completely with an acid, it produces 0.5 moles of hydrogen gas. ### Final Answer: **12 g of Mg will react completely with acid to give 0.5 moles of hydrogen gas.**
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